by
Hall, Prentice

Answer

3

Work Step by Step

Since we cannot divide by zero, the excluded value will be the value that makes the denominator zero.
For $h(x) = \frac{-3}{2x-6}$, we can set the denominator equal to zero in order to find the excluded value.
$2x - 6 = 0$
When we solve for x, we find that
$x \ne 3$